{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:FQSR2S7TXZ7NPOBM733MKG2IGL","short_pith_number":"pith:FQSR2S7T","canonical_record":{"source":{"id":"1201.2780","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-01-13T09:42:53Z","cross_cats_sorted":["cs.CC","cs.DM"],"title_canon_sha256":"3a31e127c5822f31200c21325a4c9a76ee1aa63afd23ace6750aa3c8231e0719","abstract_canon_sha256":"2dc7efea09f5bed0a9f03f20f3e90ac809ee125788fbdc9f2aaf0ed4ff0c7b10"},"schema_version":"1.0"},"canonical_sha256":"2c251d4bf3be7ed7b82cfef6c51b4832eec6d49f583739d73480f5802eacfbd2","source":{"kind":"arxiv","id":"1201.2780","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2780","created_at":"2026-05-18T03:51:12Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2780v4","created_at":"2026-05-18T03:51:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2780","created_at":"2026-05-18T03:51:12Z"},{"alias_kind":"pith_short_12","alias_value":"FQSR2S7TXZ7N","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FQSR2S7TXZ7NPOBM","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FQSR2S7T","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:FQSR2S7TXZ7NPOBM733MKG2IGL","target":"record","payload":{"canonical_record":{"source":{"id":"1201.2780","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-01-13T09:42:53Z","cross_cats_sorted":["cs.CC","cs.DM"],"title_canon_sha256":"3a31e127c5822f31200c21325a4c9a76ee1aa63afd23ace6750aa3c8231e0719","abstract_canon_sha256":"2dc7efea09f5bed0a9f03f20f3e90ac809ee125788fbdc9f2aaf0ed4ff0c7b10"},"schema_version":"1.0"},"canonical_sha256":"2c251d4bf3be7ed7b82cfef6c51b4832eec6d49f583739d73480f5802eacfbd2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:12.744746Z","signature_b64":"hecoHdLWXb/9GgLblg/HMaWbGNS6CxYwGmyClfyuWVTYI5yxdQHt6Ck61zvNWA4f6JOW2D4ZKSrXLfhjj2N4BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c251d4bf3be7ed7b82cfef6c51b4832eec6d49f583739d73480f5802eacfbd2","last_reissued_at":"2026-05-18T03:51:12.744101Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:12.744101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.2780","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:51:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5L5TwlNuFPxZG5g4fOsq00gDEcFkRalp4DSafi80si9uBZKWJwKrzcrV9XSGN4U8Zv4bYjrMT9sliGoKufTZCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:47:22.469522Z"},"content_sha256":"7c2ecbda77f90b89b22e286db2fd6c3491a5a72c4269b33a95df9c34abe575b5","schema_version":"1.0","event_id":"sha256:7c2ecbda77f90b89b22e286db2fd6c3491a5a72c4269b33a95df9c34abe575b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:FQSR2S7TXZ7NPOBM733MKG2IGL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear Kernels on Graphs Excluding Topological Minors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","cs.DM"],"primary_cat":"cs.DS","authors_text":"Alexander Langer, Felix Reidl, Peter Rossmanith, Somnath Sikdar","submitted_at":"2012-01-13T09:42:53Z","abstract_excerpt":"We show that problems which have finite integer index and satisfy a requirement we call treewidth-bounding admit linear kernels on the class of $H$-topological-minor free graphs, for an arbitrary fixed graph $H$. This builds on earlier results by Fomin et al.\\ on linear kernels for $H$-minor-free graphs and by Bodlaender et al.\\ on graphs of bounded genus. Our framework encompasses several problems, the prominent ones being Chordal Vertex Deletion, Feedback Vertex Set and Edge Dominating Set."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2780","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:51:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oNZdnNuBkMEYEsQWzTi/AUitlLOWkmalbcHnh9QgD2Y+oXAFNyLh+VmgnoePtguV8THXfc8R2av2vVI7KnYNBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:47:22.469869Z"},"content_sha256":"8ef9ce4e646706beaf47d1fbf6f8946493004844651c82aa0f40b00415af7622","schema_version":"1.0","event_id":"sha256:8ef9ce4e646706beaf47d1fbf6f8946493004844651c82aa0f40b00415af7622"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FQSR2S7TXZ7NPOBM733MKG2IGL/bundle.json","state_url":"https://pith.science/pith/FQSR2S7TXZ7NPOBM733MKG2IGL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FQSR2S7TXZ7NPOBM733MKG2IGL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-08T23:47:22Z","links":{"resolver":"https://pith.science/pith/FQSR2S7TXZ7NPOBM733MKG2IGL","bundle":"https://pith.science/pith/FQSR2S7TXZ7NPOBM733MKG2IGL/bundle.json","state":"https://pith.science/pith/FQSR2S7TXZ7NPOBM733MKG2IGL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FQSR2S7TXZ7NPOBM733MKG2IGL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FQSR2S7TXZ7NPOBM733MKG2IGL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2dc7efea09f5bed0a9f03f20f3e90ac809ee125788fbdc9f2aaf0ed4ff0c7b10","cross_cats_sorted":["cs.CC","cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-01-13T09:42:53Z","title_canon_sha256":"3a31e127c5822f31200c21325a4c9a76ee1aa63afd23ace6750aa3c8231e0719"},"schema_version":"1.0","source":{"id":"1201.2780","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2780","created_at":"2026-05-18T03:51:12Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2780v4","created_at":"2026-05-18T03:51:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2780","created_at":"2026-05-18T03:51:12Z"},{"alias_kind":"pith_short_12","alias_value":"FQSR2S7TXZ7N","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FQSR2S7TXZ7NPOBM","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FQSR2S7T","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:8ef9ce4e646706beaf47d1fbf6f8946493004844651c82aa0f40b00415af7622","target":"graph","created_at":"2026-05-18T03:51:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We show that problems which have finite integer index and satisfy a requirement we call treewidth-bounding admit linear kernels on the class of $H$-topological-minor free graphs, for an arbitrary fixed graph $H$. This builds on earlier results by Fomin et al.\\ on linear kernels for $H$-minor-free graphs and by Bodlaender et al.\\ on graphs of bounded genus. Our framework encompasses several problems, the prominent ones being Chordal Vertex Deletion, Feedback Vertex Set and Edge Dominating Set.","authors_text":"Alexander Langer, Felix Reidl, Peter Rossmanith, Somnath Sikdar","cross_cats":["cs.CC","cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-01-13T09:42:53Z","title":"Linear Kernels on Graphs Excluding Topological Minors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2780","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7c2ecbda77f90b89b22e286db2fd6c3491a5a72c4269b33a95df9c34abe575b5","target":"record","created_at":"2026-05-18T03:51:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2dc7efea09f5bed0a9f03f20f3e90ac809ee125788fbdc9f2aaf0ed4ff0c7b10","cross_cats_sorted":["cs.CC","cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-01-13T09:42:53Z","title_canon_sha256":"3a31e127c5822f31200c21325a4c9a76ee1aa63afd23ace6750aa3c8231e0719"},"schema_version":"1.0","source":{"id":"1201.2780","kind":"arxiv","version":4}},"canonical_sha256":"2c251d4bf3be7ed7b82cfef6c51b4832eec6d49f583739d73480f5802eacfbd2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c251d4bf3be7ed7b82cfef6c51b4832eec6d49f583739d73480f5802eacfbd2","first_computed_at":"2026-05-18T03:51:12.744101Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:12.744101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hecoHdLWXb/9GgLblg/HMaWbGNS6CxYwGmyClfyuWVTYI5yxdQHt6Ck61zvNWA4f6JOW2D4ZKSrXLfhjj2N4BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:12.744746Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.2780","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c2ecbda77f90b89b22e286db2fd6c3491a5a72c4269b33a95df9c34abe575b5","sha256:8ef9ce4e646706beaf47d1fbf6f8946493004844651c82aa0f40b00415af7622"],"state_sha256":"1e31b833db5acc4e0d7cbf706b7d44b78df514693e5d083b5595da0fb8b12e9e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZSNTdXPZjAV8ZVvZw5VPkmLKr2cFmOOdpo36HuGhEA2pVSYkGn3tV7YTiXLt/9sMec+B4etmelKK+v2ku6zRDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:47:22.471784Z","bundle_sha256":"87d130bfc93bf46a8d87a36244027ddfbd15b680f80e36a3847bef3e91dc633b"}}